Results 21 to 30 of about 235,315 (244)
Formulas and Properties for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2021 First-order formulas reflect an information for semantic and syntactic properties. Links between formulas and properties define their existential and universal interrelations which produce both structural and topological possibilities for characteristics
In. I. Pavlyuk, S.V. Sudoplatov
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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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On a Maximal Subgroup 2^6:(3^. S6) of M24 [PDF]
Mathematics Interdisciplinary Research, 2022 The Mathieu group M24 has a maximal subgroup of the form G ̅=N:G, where N=26 and G=3. S6 ≅ 3. PGL2 (9). Using Atlas, we can see that M24 has only one maximal subgroup of type 26:(3. S6). The group is a split extension of an elementary abelian group, N=26
Dennis Chikopela, Thekiso Seretlo
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Between the enhanced power graph and the commuting graph
Journal of Graph Theory, Volume 102, Issue 2, Page 295-303, February 2023., 2023 Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
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Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
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Conformal Interactions Between Matter and Higher‐Spin (Super)Fields
Fortschritte der Physik, Volume 71, Issue 1, January 2023., 2023 Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko +2 more
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The Primary Decomposition of the Factor Group [PDF]
Engineering and Technology Journal, 2011 The main purpose of this work is to find the primary decomposition of factor group K (The factor group of all z-valued class functions module the group of Z-valued generalized characters for elementary abelian group G),where G is a finite abelian group ...
Manal Naji Al-Harere
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The Primary Decomposition of the Factor Group K(G) [PDF]
Engineering and Technology Journal, 2011 The main purpose of this work is to find the primary decomposition of the factor group K (The factor group of all Z-valued class functions module the group of Z-valued generalized characters for elementary Abelian group G), where G is a finite Abelian ...
Manal N.AL-Harere, Fuad A.AL-Heety
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مجلة جامعة الانبار للعلوم الصرفة, 2012 In this paper , we define a certain subgroup ,denoted by ,as follows : of a finite group , and we give some properties of . Main result for is given in theorem 3.5 , which state that is an elementary abelian group if and only ...
YASSIN. A.W.AL-HITI
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
Mathematics Interdisciplinary Research, 2018 Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi +2 more
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